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Systematic realization of a class of hysteresis chaotic oscillators
Author(s) -
Elwakil A. S.,
Kennedy M. P.
Publication year - 2000
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/1097-007x(200007/08)28:4<319::aid-cta107>3.0.co;2-z
Subject(s) - chaotic , rc oscillator , control theory (sociology) , realization (probability) , resistor , vackář oscillator , topology (electrical circuits) , hysteresis , computer science , voltage , physics , mathematics , engineering , control (management) , electrical engineering , quantum mechanics , voltage controlled oscillator , statistics , artificial intelligence
A systematic method for realizing a class of hysteresis RC chaotic oscillators is described. The method is based on direct coupling of a general second‐order sinusoidal oscillator structure to a passive non‐monotone current‐controlled non‐linear resistor. Owing to this passive non‐linearity, the power consumption, supply voltage and bandwidth limitations imposed upon the chaotic oscillator are mainly those due to the active sinusoidal oscillator alone. Tunability of the chaotic oscillator can be achieved via a single control parameter and the evolution of the two‐dimensional sinusoidal oscillator dynamics into a three‐dimensional state‐space is clearly recognized. The flexibility of this method is demonstrated by two examples using PSpice simulations and experimental results. Numerical simulations of derived mathematical models are also shown. Copyright © 2000 John Wiley & Sons, Ltd.